The set of points r(-1, 1), s(2, 4), t(6, 8) are collinear and the line has a slope of

a.-1
b.1/2
c.1
d.-1/2

OptionC

Step-by-step explanation:

Let the point R and S form a line.

The slope of line RS would be

Change in y coordinate/change in x coordinate

=

Now let us consider the line joining S and T

slope of line ST would be

=Change in y coordinate/change in x coordinate

=

Thus we find the slopes of RS and ST are equal

Since parallel lines will have equal slopes, here S is the common point

So RS and ST have to be the same line.

Or the three points are collinear with slope = 1

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is